from manimlib import*
a=[
[((1066, 1698), 253), ((1269, 1661), 54), ((1586, 1704), 358), ((-5930, 1486), 7225), ((-78, 1721), 1392), ((1692, 1722), 465)],
[((383, 771), 607), ((842, 881), 302), ((855, 837), 311), ((592, 482), 263), ((614, 466), 240), ((811, 737), 214)],
[((0, 3), 17), ((17, 0), 14), ((6, 17), 13), ((5, 18), 14), ((5, 4), 13), ((6, 8), 16)],
[((1, 2), 4), ((6, 3), 4), ((3, 1), 4), ((0, 0), 5), ((5, 2), 3), ((5, 0), 4)],
[((6, 0), 7), ((3, 7), 8), ((10, 7), 10), ((5, 7), 7), ((0, 7), 7), ((0, 2), 9)],
[((0, 5), 7), ((10, 0), 6), ((5, 5), 5), ((1, 7), 7), ((6, 4), 6), ((3, 1), 4)],
[((0, 0), 6), ((1, 4), 3), ((5, 5), 5), ((9, 8), 7), ((3, 8), 5), ((10, 2), 9)],
[((0, 9), 6), ((6, 4), 6), ((3, 1), 8), ((0, 5), 6), ((10, 4), 8), ((3, 0), 8)],
[((4, 4), 11), ((4, 0), 8), ((7, 4), 11), ((0, 8), 11), ((8, 8), 10), ((1, 6), 12)],
[((7, 8), 4), ((3, 0), 6), ((2, 7), 8), ((10, 0), 8), ((0, 7), 9), ((2, 4), 6)],
[((6, 9), 11), ((11, 0), 3), ((1, 6), 11), ((5, 6), 11), ((11, 10), 11), ((0, 1), 11)],
[((0, 8), 8), ((7, 5), 7), ((7, 1), 8), ((6, 9), 8), ((6, 3), 7), ((5, 0), 9)],
[((3, 9), 9), ((10, 0), 8), ((0, 2), 10), ((3, 7), 8), ((7, 9), 9), ((0, 8), 9)],
[((0, 8), 8), ((8, 3), 9), ((7, 0), 11), ((11, 4), 10), ((11, 6), 9), ((7, 5), 8)],
[((0, 8), 14), ((3, 6), 13), ((7, 0), 14), ((2, 4), 12), ((11, 9), 13), ((1, 7), 14)],
[((7, 9), 5), ((2, 10), 8), ((4, 0), 9), ((9, 6), 6), ((2, 5), 5), ((0, 3), 6)],
[((3, 2), 6), ((7, 6), 8), ((0, 0), 3), ((6, 7), 9), ((5, 0), 7), ((1, 4), 5)],
[((6, 6), 6), ((0, 5), 4), ((2, 3), 4), ((8, 4), 6), ((1, 0), 6), ((7, 8), 6)],
[((6, 14), 11), ((13, 14), 13), ((1, 0), 14), ((1, 9), 6), ((0, 11), 7), ((11, 6), 8)],
[((0, 6), 9), ((1, 0), 6), ((3, 8), 10), ((1, 8), 9), ((4, 6), 10), ((2, 6), 10)],
[((4, 0), 8), ((2, 3), 7), ((0, 5), 6), ((6, 8), 5), ((0, 1), 7), ((0, 7), 6)],
[((0, 0), 8), ((11, 3), 10), ((7, 3), 7), ((3, 5), 8), ((0, 4), 10), ((0, 11), 6)],
[((23, 3), 19), ((11, 5), 24), ((14, 8), 24), ((5, 5), 23), ((0, 0), 19), ((3, 6), 21)],
[((12, 8), 11), ((12, 10), 10), ((1, 7), 11), ((6, 6), 10), ((2, 0), 13), ((0, 9), 13)],
[((0, 0), 6), ((5, 2), 8), ((0, 4), 6), ((4, 4), 7), ((5, 7), 7), ((3, 3), 6)],
[((2, 6), 8), ((6, 2), 6), ((1, 0), 6), ((4, 2), 7), ((4, 5), 8), ((0, 2), 6)],
[((5, 0), 5), ((1, 11), 9), ((7, 4), 4), ((6, 6), 6), ((0, 7), 9), ((1, 3), 7)],
[((3, 8), 8), ((4, 9), 7), ((5, 6), 7), ((1, 0), 9), ((6, 1), 7), ((0, 4), 10)],
[((1, 1), 4), ((0, 5), 6), ((1, 0), 4), ((4, 4), 4), ((3, 6), 4), ((5, 2), 3)],
[((0, 2), 6), ((6, 2), 5), ((0, 6), 4), ((4, 0), 6), ((6, 6), 6), ((1, 0), 6)],
[((2, 5), 8), ((7, 2), 8), ((9, 8), 7), ((9, 5), 7), ((0, 0), 8), ((7, 0), 8)],
[((3, 0), 25), ((6, 4), 24), ((13, 5), 17), ((11, 6), 19), ((0, 9), 23), ((10, 18), 25)],
[((2, 7), 8), ((5, 3), 5), ((0, 3), 8), ((3, 6), 8), ((5, 0), 7), ((7, 0), 7)],
[((2, 0), 5), ((8, 4), 5), ((0, 2), 4), ((5, 0), 4), ((7, 5), 6), ((2, 6), 5)],
[((1, 2), 6), ((7, 5), 5), ((0, 5), 5), ((5, 5), 5), ((5, 0), 7), ((2, 0), 7)],
[((4, 1), 9), ((0, 12), 9), ((3, 0), 9), ((9, 0), 8), ((9, 12), 12), ((2, 9), 10)],
[((1, 4), 6), ((6, 4), 8), ((9, 0), 6), ((0, 2), 5), ((6, 2), 7), ((7, 7), 9)],
[((3, 3), 6), ((8, 6), 9), ((4, 11), 8), ((0, 0), 8), ((2, 9), 8), ((9, 10), 11)],
[((6, 0), 8), ((0, 7), 6), ((8, 7), 8), ((1, 1), 11), ((7, 4), 9), ((4, 2), 9)],
[((10, 1), 9), ((12, 10), 15), ((3, 10), 9), ((0, 8), 9), ((12, 0), 9), ((11, 13), 13)],
[((29, 0), 23), ((25, 20), 32), ((20, 0), 21), ((6, 17), 18), ((25, 14), 29), ((0, 32), 25)],
[((9, 2), 8), ((1, 0), 6), ((3, 0), 6), ((0, 2), 6), ((10, 5), 6), ((4, 2), 8)],
[((5, 0), 5), ((12, 9), 13), ((0, 12), 15), ((9, 5), 9), ((0, 7), 11), ((10, 14), 13)],
[((9, 4), 5), ((5, 4), 2), ((10, 10), 8), ((6, 0), 5), ((3, 10), 8), ((0, 3), 5)],
[((11, 15), 15), ((15, 0), 19), ((0, 2), 9), ((1, 8), 9), ((19, 15), 19), ((6, 3), 10)],
[((7, 4), 9), ((0, 3), 11), ((12, 0), 13), ((5, 3), 10), ((3, 11), 5), ((7, 2), 9)],
[((0, 0), 10), ((3, 1), 10), ((0, 7), 10), ((4, 4), 11), ((9, 8), 8), ((11, 7), 10)],
[((1, 5), 5), ((2, 0), 7), ((8, 0), 9), ((0, 7), 5), ((10, 1), 9), ((9, 9), 5)],
[((0, 0), 6), ((5, 5), 9), ((7, 0), 9), ((0, 3), 5), ((7, 2), 10), ((0, 1), 6)],
[((0, 7), 9), ((10, 9), 5), ((9, 2), 5), ((3, 0), 8), ((4, 2), 6), ((10, 1), 6)],
[((0, 4), 7), ((7, 0), 4), ((1, 1), 5), ((1, 5), 6), ((6, 0), 4), ((5, 3), 3)],
[((7, 11), 4), ((11, 0), 10), ((0, 4), 7), ((6, 7), 3), ((3, 0), 8), ((11, 10), 6)],
[((10, 3), 9), ((6, 5), 9), ((0, 8), 5), ((4, 0), 9), ((8, 8), 10), ((7, 0), 10)],
[((0, 0), 10), ((8, 9), 9), ((12, 7), 9), ((11, 4), 6), ((9, 2), 8), ((7, 12), 12)],
[((1, 1), 3), ((0, 5), 6), ((9, 0), 8), ((6, 7), 8), ((9, 7), 8), ((2, 1), 3)],
[((4, 3), 7), ((5, 4), 6), ((0, 0), 6), ((0, 4), 6), ((3, 6), 6), ((2, 2), 7)],
[((6, 0), 6), ((11, 4), 11), ((0, 6), 7), ((12, 2), 12), ((0, 0), 2), ((2, 11), 10)],
[((0, 9), 9), ((4, 10), 10), ((0, 0), 6), ((10, 7), 10), ((4, 0), 5), ((8, 10), 8)],
[((3, 8), 6), ((7, 2), 7), ((0, 6), 3), ((3, 3), 4), ((9, 7), 10), ((3, 0), 6)],
[((1, 5), 11), ((3, 2), 12), ((0, 2), 12), ((4, 3), 11), ((7, 9), 10), ((1, 0), 12)],
[((0, 0), 7), ((4, 6), 5), ((7, 4), 7), ((8, 7), 8), ((2, 7), 7), ((5, 0), 5)],
[((5, 8), 10), ((7, 0), 7), ((5, 0), 8), ((0, 9), 10), ((0, 0), 6), ((0, 4), 9)],
[((3, 5), 9), ((2, 0), 7), ((4, 1), 6), ((6, 0), 6), ((0, 0), 7), ((0, 5), 10)],
[((7, 0), 6), ((9, 3), 6), ((3, 0), 4), ((5, 9), 7), ((0, 6), 9), ((5, 8), 7)],
[((2, 1), 10), ((7, 6), 7), ((10, 0), 8), ((1, 6), 10), ((0, 0), 9), ((4, 7), 9)],
[((0, 0), 17), ((9, 15), 8), ((9, 2), 9), ((5, 6), 13), ((17, 4), 8), ((14, 17), 10)],
[((4, 3), 10), ((2, 5), 8), ((4, 8), 7), ((0, 8), 6), ((7, 7), 7), ((0, 0), 8)],
[((6, 0), 12), ((4, 8), 10), ((7, 7), 9), ((1, 10), 12), ((0, 5), 12), ((2, 11), 12)],
[((0, 13), 14), ((20, 12), 9), ((13, 0), 10), ((15, 2), 10), ((16, 20), 11), ((4, 5), 18)],
[((7, 7), 5), ((9, 7), 6), ((0, 0), 9), ((2, 6), 6), ((3, 3), 6), ((6, 2), 5)],
[((14, 0), 14), ((4, 6), 9), ((10, 13), 13), ((0, 12), 10), ((7, 0), 14), ((5, 11), 11)],
[((6, 5), 8), ((13, 5), 13), ((12, 6), 13), ((2, 6), 11), ((8, 0), 12), ((0, 4), 12)],
[((2, 6), 9), ((6, 3), 9), ((5, 0), 8), ((8, 3), 9), ((5, 8), 6), ((0, 4), 8)],
[((5, 0), 7), ((3, 3), 7), ((7, 2), 6), ((0, 1), 5), ((0, 8), 5), ((6, 9), 10)],
[((0, 0), 7), ((1, 4), 6), ((4, 0), 6), ((3, 6), 7), ((8, 4), 4), ((7, 2), 5)],
[((7, 6), 8), ((8, 10), 9), ((10, 10), 10), ((0, 5), 8), ((9, 0), 7), ((1, 2), 10)],
[((4, 2), 6), ((0, 0), 7), ((4, 9), 7), ((0, 3), 5), ((6, 7), 5), ((1, 8), 6)],
[((7, 10), 7), ((3, 2), 6), ((3, 0), 7), ((8, 8), 8), ((0, 6), 4), ((6, 4), 6)],
[((0, 1), 5), ((7, 0), 7), ((3, 2), 5), ((6, 6), 4), ((1, 4), 5), ((2, 3), 4)],
[((5, 7), 4), ((0, 5), 5), ((4, 0), 7), ((3, 3), 5), ((4, 4), 5), ((5, 1), 6)],
[((6, 12), 10), ((11, 1), 10), ((9, 5), 6), ((0, 9), 6), ((2, 4), 3), ((0, 0), 7)],
[((8, 3), 4), ((4, 7), 6), ((0, 1), 10), ((4, 5), 5), ((2, 7), 5), ((6, 0), 5)],
[((0, 10), 9), ((8, 3), 6), ((1, 10), 9), ((9, 0), 8), ((0, 0), 8), ((3, 10), 8)],
[((4, 6), 6), ((1, 6), 6), ((0, 0), 4), ((6, 0), 5), ((3, 1), 7), ((3, 3), 8)],
[((7, 7), 8), ((3, 3), 5), ((8, 5), 9), ((0, 1), 2), ((3, 7), 6), ((1, 0), 3)],
[((3, 7), 7), ((5, 2), 4), ((0, 7), 7), ((2, 5), 6), ((6, 4), 4), ((2, 0), 6)],
[((31, 22), 19), ((23, 0), 20), ((0, 32), 25), ((29, 32), 25), ((32, 0), 21), ((6, 20), 12)],
[((5, 16), 16), ((10, 0), 12), ((0, 5), 9), ((7, 8), 12), ((9, 3), 10), ((7, 0), 11)],
[((0, 2), 13), ((7, 2), 7), ((8, 13), 7), ((8, 0), 9), ((11, 4), 8), ((13, 11), 12)],
[((30, 0), 30), ((0, 24), 20), ((30, 8), 28), ((30, 28), 21), ((12, 15), 11), ((20, 7), 19)],
[((5, 7), 6), ((6, 1), 4), ((0, 0), 8), ((0, 5), 8), ((3, 4), 7), ((2, 5), 7)],
[((0, 21), 22), ((21, 9), 10), ((0, 22), 22), ((11, 0), 9), ((12, 21), 21), ((10, 22), 23)],
[((0, 3), 15), ((11, 0), 11), ((3, 7), 13), ((7, 14), 15), ((15, 15), 15), ((16, 14), 14)],
[((11, 0), 21), ((13, 16), 16), ((16, 4), 15), ((6, 9), 17), ((0, 13), 21), ((21, 22), 22)],
[((7, 10), 8), ((6, 7), 9), ((0, 13), 11), ((5, 1), 11), ((8, 6), 8), ((12, 0), 9)],
[((5, 6), 11), ((2, 8), 8), ((0, 7), 7), ((6, 0), 9), ((8, 4), 10), ((6, 4), 11)],
[((8, 14), 9), ((0, 15), 5), ((12, 13), 12), ((13, 12), 11), ((1, 2), 15), ((5, 0), 12)],
[((0, 3), 8), ((0, 10), 5), ((1, 0), 6), ((4, 1), 5), ((6, 7), 7), ((1, 7), 6)],
[((12, 18), 16), ((9, 19), 15), ((8, 0), 21), ((5, 5), 17), ((12, 10), 21), ((0, 16), 21)],
[((0, 1), 13), ((20, 0), 20), ((2, 3), 14), ((1, 9), 14), ((11, 6), 10), ((9, 2), 14)],
[((9, 6), 7), ((2, 5), 7), ((7, 0), 4), ((0, 5), 6), ((1, 6), 6), ((9, 9), 8)],
[((4, 9), 8), ((2, 2), 8), ((0, 7), 7), ((3, 0), 10), ((3, 6), 9), ((10, 4), 6)],
[((1, 5), 8), ((2, 3), 7), ((0, 8), 5), ((3, 10), 6), ((9, 5), 10), ((10, 0), 10)],
[((3, 3), 9), ((7, 0), 6), ((7, 10), 13), ((8, 12), 13), ((0, 0), 12), ((2, 12), 16)],
[((4, 3), 7), ((8, 4), 6), ((2, 1), 7), ((0, 0), 6), ((0, 7), 9), ((6, 7), 8)],
[((4, 4), 6), ((6, 4), 5), ((7, 8), 3), ((0, 0), 8), ((0, 5), 6), ((2, 4), 6)],
[((0, 3), 8), ((7, 3), 6), ((9, 5), 7), ((6, 1), 6), ((0, 0), 9), ((2, 6), 8)],
[((7, 4), 9), ((0, 4), 10), ((4, 9), 9), ((9, 9), 10), ((4, 4), 10), ((8, 0), 7)],
[((9, 6), 11), ((0, 2), 13), ((3, 1), 11), ((0, 8), 13), ((12, 0), 10), ((8, 1), 11)],
[((0, 0), 9), ((4, 9), 7), ((3, 1), 7), ((7, 4), 7), ((6, 8), 8), ((3, 4), 8)],
[((2, 4), 5), ((1, 0), 3), ((0, 3), 3), ((5, 6), 5), ((6, 0), 4), ((3, 1), 2)],
[((0, 14), 10), ((6, 12), 8), ((13, 0), 10), ((3, 7), 12), ((1, 13), 9), ((8, 0), 7)],
[((1, 2), 6), ((5, 0), 4), ((0, 0), 5), ((3, 1), 4), ((5, 3), 4), ((2, 6), 4)],
[((3, 0), 12), ((3, 15), 18), ((18, 1), 5), ((10, 0), 13), ((0, 8), 16), ((16, 7), 9)],
[((30, 37), 24), ((9, 35), 17), ((0, 2), 27), ((37, 0), 28), ((13, 18), 16), ((6, 13), 15)],
[((3, 9), 9), ((0, 5), 5), ((8, 4), 11), ((9, 10), 6), ((6, 0), 11), ((11, 2), 9)],
[((9, 11), 6), ((7, 0), 7), ((8, 9), 6), ((11, 4), 10), ((0, 0), 9), ((6, 8), 7)],
[((8, 4), 6), ((3, 0), 6), ((6, 7), 9), ((0, 8), 9), ((6, 3), 7), ((9, 3), 6)],
[((3, 6), 5), ((6, 1), 6), ((3, 4), 5), ((0, 2), 3), ((0, 0), 4), ((1, 4), 5)],
[((8, 3), 7), ((5, 0), 5), ((0, 8), 11), ((4, 7), 11), ((4, 9), 11), ((11, 4), 7)],
[((17, 12), 19), ((0, 0), 18), ((2, 14), 18), ((17, 16), 16), ((5, 7), 18), ((7, 8), 17)],
[((9, 2), 5), ((6, 8), 5), ((2, 6), 6), ((0, 4), 8), ((2, 0), 4), ((5, 6), 4)],
[((1, 1), 28), ((8, 36), 15), ((0, 18), 21), ((7, 19), 27), ((26, 27), 35), ((28, 0), 27)],
[((0, 6), 6), ((4, 2), 8), ((0, 2), 9), ((8, 8), 7), ((8, 0), 5), ((5, 4), 8)],
[((0, 5), 8), ((7, 6), 6), ((4, 0), 10), ((4, 6), 7), ((5, 6), 7), ((5, 9), 6)],
[((5, 5), 8), ((0, 9), 4), ((1, 3), 9), ((2, 0), 11), ((5, 7), 9), ((4, 0), 12)],
[((2, 4), 10), ((4, 10), 8), ((8, 4), 10), ((5, 0), 7), ((0, 0), 8), ((5, 7), 8)],
[((18, 5), 24), ((12, 1), 21), ((0, 0), 12), ((8, 18), 31), ((18, 0), 20), ((17, 12), 22)],
[((5, 9), 5), ((16, 15), 13), ((6, 0), 9), ((0, 0), 12), ((11, 16), 10), ((16, 11), 15)],
[((1, 4), 4), ((0, 0), 6), ((7, 3), 5), ((5, 8), 5), ((4, 5), 5), ((2, 10), 5)],
[((7, 0), 8), ((8, 5), 6), ((2, 4), 8), ((5, 0), 8), ((0, 3), 8), ((4, 6), 9)],
[((3, 1), 4), ((0, 0), 6), ((3, 11), 10), ((5, 0), 4), ((8, 0), 4), ((7, 1), 3)],
[((7, 5), 13), ((4, 0), 11), ((0, 5), 16), ((19, 10), 9), ((4, 18), 19), ((5, 16), 17)],
[((6, 0), 5), ((4, 2), 6), ((6, 5), 8), ((2, 6), 9), ((4, 7), 10), ((0, 3), 7)],
[((1, 9), 5), ((5, 1), 7), ((3, 5), 6), ((0, 4), 8), ((2, 0), 6), ((6, 3), 6)],
[((6, 7), 6), ((8, 4), 4), ((1, 0), 5), ((5, 5), 6), ((0, 4), 8), ((3, 1), 7)],
[((3, 8), 5), ((8, 0), 5), ((8, 8), 7), ((0, 5), 5), ((7, 0), 5), ((1, 0), 6)],
[((4, 4), 4), ((5, 0), 3), ((9, 8), 7), ((0, 3), 6), ((10, 0), 6), ((0, 9), 8)],
[((3, 6), 7), ((7, 6), 7), ((6, 7), 7), ((1, 6), 7), ((1, 0), 8), ((0, 10), 7)],
[((2, 0), 5), ((2, 5), 3), ((0, 7), 4), ((0, 3), 5), ((6, 1), 6), ((6, 5), 5)],
[((5, 4), 8), ((7, 1), 8), ((3, 0), 6), ((0, 6), 6), ((1, 3), 6), ((7, 6), 6)],
[((9, 9), 6), ((10, 7), 6), ((0, 5), 11), ((10, 0), 6), ((1, 8), 9), ((11, 5), 5)],
[((10, 7), 7), ((0, 9), 7), ((1, 12), 8), ((1, 0), 15), ((6, 7), 8), ((4, 16), 10)],
[((2, 2), 7), ((1, 12), 13), ((9, 0), 8), ((10, 9), 14), ((0, 0), 6), ((11, 0), 7)],
[((5, 7), 7), ((1, 4), 6), ((0, 7), 7), ((5, 0), 5), ((7, 0), 5), ((5, 6), 7)],
[((0, 10), 9), ((8, 6), 9), ((4, 0), 16), ((16, 1), 13), ((11, 2), 13), ((8, 19), 12)],
[((6, 2), 7), ((14, 11), 7), ((0, 5), 12), ((15, 0), 14), ((3, 4), 10), ((11, 8), 10)],
[((7, 9), 7), ((0, 9), 10), ((5, 4), 5), ((9, 7), 9), ((6, 0), 3), ((1, 7), 9)],
[((0, 0), 5), ((10, 6), 7), ((5, 3), 6), ((8, 7), 8), ((8, 5), 9), ((0, 6), 5)],
[((0, 2), 10), ((10, 11), 7), ((9, 0), 8), ((7, 10), 8), ((11, 2), 10), ((11, 4), 10)],
[((9, 10), 10), ((0, 3), 10), ((12, 8), 7), ((3, 14), 10), ((12, 2), 8), ((14, 0), 8)],
[((8, 3), 8), ((0, 0), 7), ((4, 2), 5), ((8, 6), 9), ((10, 4), 9), ((2, 0), 6)],
[((6, 2), 4), ((2, 0), 6), ((4, 0), 5), ((0, 3), 8), ((3, 6), 7), ((2, 4), 6)],
[((0, 5), 7), ((6, 11), 9), ((3, 0), 11), ((11, 3), 6), ((7, 9), 7), ((10, 3), 6)],
[((0, 6), 6), ((1, 10), 7), ((2, 5), 6), ((6, 1), 7), ((7, 5), 4), ((1, 0), 6)],
[((8, 8), 9), ((0, 2), 10), ((10, 3), 7), ((6, 10), 7), ((6, 6), 7), ((4, 0), 7)],
[((7, 3), 6), ((2, 0), 9), ((1, 5), 9), ((10, 5), 6), ((0, 9), 9), ((8, 4), 5)],
[((10, 0), 25), ((0, 17), 21), ((21, 6), 17), ((3, 10), 20), ((7, 23), 24), ((11, 11), 25)],
[((0, 7), 9), ((3, 1), 7), ((6, 5), 6), ((0, 6), 9), ((6, 0), 9), ((0, 3), 10)],
[((19, 0), 15), ((8, 8), 18), ((5, 13), 19), ((3, 9), 18), ((0, 8), 21), ((14, 7), 14)],
[((0, 20), 19), ((8, 0), 13), ((3, 9), 9), ((8, 7), 13), ((6, 20), 18), ((10, 12), 10)],
[((4, 9), 11), ((8, 2), 11), ((6, 5), 11), ((7, 10), 14), ((8, 0), 11), ((0, 10), 12)],
[((10, 12), 15), ((0, 0), 11), ((6, 12), 14), ((9, 14), 17), ((10, 3), 11), ((13, 1), 11)],
[((6, 5), 10), ((0, 11), 7), ((3, 11), 9), ((1, 8), 8), ((4, 0), 11), ((3, 4), 11)],
[((9, 43), 39), ((0, 13), 29), ((32, 0), 45), ((31, 2), 44), ((25, 1), 40), ((29, 15), 44)],
[((8, 4), 6), ((7, 5), 5), ((6, 8), 6), ((9, 0), 3), ((0, 0), 8), ((8, 7), 6)],
[((0, 12), 12), ((10, 13), 7), ((13, 9), 11), ((8, 6), 8), ((12, 8), 10), ((10, 0), 10)],
[((30, 33), 28), ((16, 16), 18), ((8, 10), 23), ((0, 17), 33), ((25, 18), 13), ((0, 0), 24)],
[((3, 11), 12), ((0, 5), 12), ((2, 5), 12), ((10, 0), 5), ((12, 6), 11), ((8, 4), 8)],
[((6, 0), 7), ((4, 2), 6), ((1, 6), 4), ((7, 5), 7), ((0, 2), 6), ((3, 8), 3)],
[((9, 5), 7), ((4, 6), 10), ((0, 5), 9), ((7, 4), 7), ((0, 3), 9), ((10, 0), 10)],
[((12, 3), 12), ((14, 13), 10), ((1, 3), 8), ((14, 2), 11), ((10, 0), 14), ((0, 6), 6)],
[((5, 0), 7), ((4, 8), 10), ((8, 4), 7), ((0, 2), 10), ((2, 9), 9), ((4, 4), 9)],
[((4, 0), 9), ((1, 3), 7), ((7, 4), 5), ((3, 7), 5), ((8, 8), 4), ((0, 7), 7)],
[((14, 8), 13), ((0, 8), 16), ((8, 14), 8), ((21, 10), 11), ((19, 0), 19), ((7, 0), 21)],
[((8, 3), 10), ((4, 0), 7), ((3, 3), 8), ((0, 10), 9), ((0, 1), 6), ((8, 0), 8)],
[((10, 2), 9), ((6, 9), 10), ((3, 1), 6), ((9, 5), 11), ((0, 0), 8), ((4, 11), 9)],
[((6, 0), 8), ((4, 0), 7), ((3, 7), 8), ((2, 2), 7), ((0, 7), 9), ((2, 10), 6)],
[((5, 9), 8), ((9, 0), 10), ((0, 7), 11), ((8, 7), 9), ((5, 7), 7), ((1, 11), 11)],
[((0, 7), 22), ((11, 13), 17), ((19, 0), 10), ((3, 2), 18), ((8, 10), 15), ((12, 20), 13)],
[((10, 4), 9), ((8, 0), 10), ((7, 2), 9), ((5, 0), 8), ((6, 6), 6), ((0, 9), 6)],
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[((0, 0), 5), ((1, 7), 6), ((2, 6), 7), ((2, 4), 8), ((7, 2), 3), ((3, 0), 7)],
[((11, 8), 14), ((14, 7), 12), ((6, 7), 9), ((0, 0), 11), ((3, 3), 7), ((15, 2), 8)],
[((1, 0), 18), ((16, 2), 3), ((9, 13), 14), ((1, 13), 17), ((4, 12), 17), ((0, 4), 14)],
[((7, 12), 11), ((7, 9), 9), ((0, 2), 14), ((8, 0), 11), ((15, 9), 5), ((1, 6), 15)],
[((12, 17), 17), ((6, 14), 13), ((15, 0), 4), ((0, 6), 18), ((18, 18), 15), ((12, 18), 17)],
[((9, 6), 13), ((9, 10), 15), ((14, 15), 15), ((0, 0), 10), ((9, 15), 11), ((12, 11), 13)],
[((14, 9), 29), ((0, 0), 17), ((16, 15), 25), ((3, 0), 19), ((29, 17), 26), ((28, 6), 19)],
[((7, 3), 7), ((1, 0), 11), ((0, 3), 8), ((12, 8), 10), ((3, 2), 10), ((11, 2), 7)],
[((6, 7), 11), ((7, 5), 11), ((5, 5), 12), ((10, 8), 7), ((0, 11), 5), ((6, 0), 9)],
[((14, 0), 13), ((0, 12), 7), ((7, 5), 14), ((10, 4), 13), ((3, 8), 10), ((14, 9), 11)],
[((12, 0), 14), ((6, 2), 18), ((8, 6), 19), ((2, 3), 14), ((0, 17), 9), ((15, 19), 18)],
[((12, 2), 8), ((3, 12), 8), ((5, 11), 9), ((0, 12), 10), ((12, 9), 11), ((7, 0), 12)],
[((7, 11), 14), ((13, 5), 7), ((4, 0), 7), ((0, 12), 9), ((6, 9), 14), ((7, 3), 10)],
[((0, 2), 9), ((15, 12), 12), ((3, 0), 7), ((13, 4), 17), ((3, 5), 11), ((13, 8), 15)],
[((17, 3), 17), ((20, 3), 15), ((0, 1), 18), ((14, 20), 14), ((12, 0), 22), ((23, 12), 22)],
[((17, 8), 13), ((0, 5), 19), ((0, 12), 14), ((12, 6), 17), ((3, 0), 14), ((11, 2), 19)],
[((8, 0), 12), ((3, 8), 9), ((1, 3), 8), ((6, 5), 11), ((12, 3), 8), ((0, 7), 12)],
[((6, 0), 9), ((6, 9), 17), ((20, 0), 19), ((4, 2), 11), ((0, 8), 14), ((20, 12), 10)],
[((7, 5), 5), ((0, 0), 8), ((3, 1), 6), ((11, 7), 7), ((9, 2), 8), ((4, 2), 5)],
[((7, 18), 16), ((19, 14), 18), ((0, 16), 19), ((22, 0), 13), ((15, 11), 20), ((16, 17), 20)],
[((11, 4), 23), ((15, 14), 14), ((5, 0), 21), ((13, 5), 22), ((0, 4), 15), ((14, 19), 17)],
[((17, 16), 26), ((4, 5), 28), ((0, 0), 28), ((34, 9), 14), ((34, 43), 45), ((0, 20), 42)],
[((0, 12), 14), ((9, 1), 8), ((6, 5), 11), ((10, 7), 14), ((13, 0), 10), ((3, 6), 14)],
[((10, 18), 17), ((20, 1), 8), ((4, 14), 22), ((15, 16), 22), ((8, 10), 21), ((0, 0), 13)],
[((0, 8), 13), ((1, 20), 17), ((2, 13), 17), ((1, 6), 11), ((2, 0), 16), ((15, 20), 10)],
[((29, 0), 27), ((21, 22), 20), ((9, 11), 35), ((5, 13), 38), ((0, 38), 23), ((22, 38), 20)],
[((22, 14), 8), ((22, 0), 19), ((11, 14), 18), ((0, 12), 16), ((7, 0), 21), ((5, 4), 22)],
[((13, 14), 20), ((23, 19), 24), ((20, 24), 19), ((17, 16), 18), ((0, 15), 20), ((11, 0), 10)],
[((1, 3), 17), ((3, 1), 19), ((0, 13), 10), ((14, 10), 9), ((12, 0), 16), ((6, 1), 17)],
[((5, 11), 16), ((15, 15), 8), ((12, 0), 14), ((5, 5), 14), ((0, 5), 12), ((8, 4), 11)],
[((15, 9), 35), ((22, 19), 28), ((0, 35), 19), ((19, 10), 36), ((20, 37), 38), ((13, 0), 38)],
[((6, 4), 12), ((13, 6), 9), ((0, 6), 13), ((1, 0), 8), ((1, 11), 9), ((5, 5), 13)],
[((8, 23), 13), ((0, 20), 21), ((3, 0), 24), ((23, 0), 16), ((10, 22), 11), ((18, 14), 21)],
[((10, 3), 16), ((8, 0), 14), ((0, 0), 16), ((2, 13), 5), ((16, 10), 10), ((11, 17), 5)],
[((3, 15), 4), ((6, 2), 15), ((0, 13), 6), ((12, 1), 15), ((11, 0), 14), ((6, 0), 16)],
[((0, 13), 15), ((1, 5), 7), ((6, 15), 9), ((7, 0), 7), ((1, 16), 14), ((4, 4), 6)],
[((8, 10), 5), ((1, 3), 9), ((0, 6), 6), ((4, 3), 10), ((3, 10), 7), ((0, 0), 9)],
[((10, 0), 12), ((3, 17), 8), ((11, 3), 13), ((14, 17), 16), ((0, 0), 13), ((17, 8), 20)],
[((2, 14), 25), ((0, 0), 21), ((5, 9), 21), ((12, 7), 28), ((11, 23), 18), ((3, 2), 18)],
[((4, 19), 28), ((3, 0), 28), ((8, 10), 23), ((26, 5), 5), ((23, 18), 11), ((0, 6), 22)],
[((25, 0), 16), ((9, 10), 20), ((5, 18), 17), ((25, 28), 21), ((22, 12), 25), ((0, 7), 29)],
[((7, 2), 17), ((16, 1), 9), ((1, 5), 14), ((17, 11), 16), ((17, 9), 16), ((0, 0), 10)],
[((22, 34), 24), ((33, 29), 23), ((0, 17), 20), ((0, 0), 22), ((3, 29), 30), ((8, 11), 18)],
[((12, 8), 25), ((21, 33), 14), ((23, 8), 31), ((11, 16), 32), ((14, 19), 28), ((0, 0), 34)],
[((15, 12), 10), ((4, 5), 10), ((12, 0), 15), ((0, 5), 7), ((15, 9), 9), ((8, 0), 15)],
[((0, 14), 12), ((4, 12), 15), ((12, 12), 13), ((0, 9), 12), ((5, 15), 15), ((1, 0), 4)],
[((0, 13), 7), ((7, 5), 15), ((2, 5), 13), ((1, 0), 11), ((12, 8), 12), ((15, 12), 10)],
[((14, 11), 9), ((6, 6), 16), ((2, 4), 15), ((10, 5), 15), ((0, 0), 16), ((2, 1), 14)],
[((17, 3), 16), ((4, 1), 12), ((0, 5), 8), ((12, 1), 15), ((14, 0), 13), ((12, 7), 18)],
[((7, 7), 18), ((15, 15), 12), ((9, 17), 15), ((2, 7), 17), ((1, 12), 12), ((0, 0), 12)],
[((0, 0), 41), ((38, 19), 13), ((41, 18), 16), ((31, 41), 24), ((9, 39), 25), ((34, 35), 28)],
[((47, 24), 50), ((19, 11), 28), ((43, 23), 46), ((36, 34), 55), ((30, 23), 44), ((0, 0), 14)],
[((3, 3), 16), ((2, 9), 15), ((1, 6), 18), ((7, 17), 8), ((13, 9), 8), ((0, 0), 13)],
[((4, 9), 16), ((13, 12), 12), ((0, 13), 14), ((6, 11), 18), ((5, 12), 17), ((11, 0), 15)],
[((7, 6), 13), ((1, 9), 17), ((0, 4), 20), ((18, 1), 15), ((11, 0), 13), ((0, 19), 12)],
[((0, 27), 19), ((5, 17), 24), ((2, 26), 18), ((6, 0), 18), ((15, 7), 28), ((13, 12), 28)],
[((14, 0), 11), ((5, 13), 7), ((0, 14), 12), ((11, 9), 13), ((14, 7), 13), ((9, 14), 11)],
[((24, 10), 17), ((3, 0), 23), ((29, 30), 19), ((9, 2), 18), ((0, 31), 15), ((28, 21), 21)],
[((0, 3), 57), ((71, 22), 52), ((9, 1), 50), ((71, 71), 50), ((16, 0), 53), ((11, 56), 17)],
[((15, 9), 13), ((0, 14), 18), ((2, 5), 25), ((23, 15), 12), ((7, 25), 7), ((4, 0), 25)],
[((4, 12), 14), ((15, 13), 13), ((12, 14), 10), ((10, 15), 9), ((10, 2), 15), ((0, 0), 10)],
[((8, 7), 11), ((2, 11), 5), ((12, 7), 8), ((0, 0), 11), ((7, 4), 9), ((10, 11), 12)],
[((0, 0), 16), ((4, 10), 9), ((15, 1), 9), ((1, 7), 9), ((10, 6), 13), ((8, 3), 10)],
[((51, 32), 35), ((7, 4), 54), ((43, 29), 39), ((0, 34), 32), ((52, 0), 31), ((52, 5), 29)],
[((0, 14), 5), ((18, 0), 18), ((17, 15), 13), ((12, 16), 17), ((6, 18), 12), ((18, 8), 18)],
[((12, 16), 13), ((0, 0), 18), ((8, 10), 19), ((2, 11), 18), ((8, 15), 17), ((6, 2), 12)],
[((23, 2), 24), ((31, 0), 25), ((5, 9), 31), ((0, 31), 23), ((22, 16), 13), ((10, 23), 20)],
[((20, 13), 8), ((11, 19), 10), ((19, 0), 18), ((17, 2), 19), ((16, 1), 20), ((0, 2), 19)],
[((19, 0), 12), ((5, 19), 21), ((5, 13), 18), ((22, 9), 19), ((0, 8), 12), ((18, 18), 11)],
[((1, 13), 12), ((6, 0), 6), ((5, 10), 14), ((4, 8), 14), ((0, 0), 9), ((0, 7), 10)],
[((8, 2), 18), ((4, 3), 15), ((16, 0), 13), ((14, 10), 16), ((0, 3), 12), ((8, 17), 8)],
[((3, 17), 27), ((2, 12), 23), ((25, 9), 16), ((18, 21), 15), ((0, 12), 22), ((10, 0), 10)],
[((12, 0), 7), ((6, 13), 9), ((1, 4), 8), ((0, 9), 13), ((6, 0), 12), ((9, 6), 12)],
[((41, 40), 9), ((31, 0), 41), ((0, 27), 35), ((4, 17), 38), ((9, 13), 39), ((1, 24), 35)],
[((0, 0), 11), ((16, 9), 10), ((13, 0), 14), ((16, 4), 14), ((4, 3), 7), ((15, 4), 14)],
[((1, 2), 6), ((3, 0), 4), ((6, 1), 6), ((5, 4), 4), ((4, 7), 6), ((0, 7), 4)],
[((8, 19), 19), ((12, 15), 14), ((7, 16), 19), ((0, 0), 9), ((15, 7), 9), ((5, 5), 12)],
[((0, 15), 18), ((16, 13), 24), ((20, 18), 21), ((8, 14), 17), ((3, 0), 10), ((17, 12), 25)],
[((8, 0), 10), ((4, 12), 13), ((1, 9), 10), ((0, 0), 16), ((3, 4), 15), ((8, 16), 12)],
[((0, 13), 28), ((2, 11), 29), ((30, 0), 19), ((2, 26), 22), ((13, 12), 18), ((24, 11), 8)],
[((2, 4), 19), ((1, 0), 17), ((1, 8), 21), ((0, 20), 21), ((4, 15), 15), ((0, 14), 19)],
[((0, 29), 36), ((12, 19), 32), ((13, 28), 25), ((17, 17), 29), ((11, 29), 26), ((17, 0), 14)],
[((5, 0), 14), ((8, 2), 11), ((10, 10), 16), ((3, 3), 16), ((1, 14), 7), ((0, 0), 13)],
[((0, 0), 15), ((12, 8), 21), ((19, 14), 17), ((1, 21), 12), ((13, 13), 21), ((1, 11), 21)],
[((0, 8), 9), ((9, 6), 13), ((1, 1), 5), ((12, 9), 14), ((11, 6), 13), ((13, 0), 8)],
[((0, 9), 10), ((10, 1), 11), ((7, 6), 16), ((15, 0), 14), ((4, 3), 16), ((6, 4), 14)],
[((6, 29), 50), ((14, 6), 33), ((0, 3), 47), ((29, 46), 23), ((28, 0), 29), ((2, 41), 49)],
[((55, 17), 87), ((15, 65), 34), ((31, 87), 28), ((21, 66), 40), ((33, 0), 64), ((0, 38), 47)],
[((12, 20), 15), ((0, 1), 13), ((16, 6), 27), ((24, 0), 24), ((7, 12), 24), ((27, 19), 22)],
[((8, 13), 15), ((9, 4), 23), ((21, 0), 12), ((16, 16), 23), ((0, 10), 16), ((11, 12), 18)],
[((0, 0), 16), ((22, 22), 18), ((21, 8), 11), ((17, 17), 19), ((20, 14), 15), ((5, 23), 13)],
[((26, 44), 108), ((0, 153), 95), ((74, 56), 98), ((76, 0), 153), ((23, 107), 49), ((86, 84), 72)],
[((11, 0), 19), ((11, 17), 9), ((16, 10), 15), ((0, 0), 13), ((8, 4), 19), ((19, 7), 11)],
[((27, 14), 25), ((2, 0), 43), ((32, 19), 32), ((18, 41), 45), ((47, 23), 25), ((0, 29), 29)],
[((7, 10), 14), ((2, 5), 11), ((8, 16), 13), ((1, 1), 11), ((8, 6), 16), ((0, 0), 12)],
[((9, 16), 20), ((18, 6), 8), ((2, 16), 18), ((20, 0), 11), ((0, 7), 11), ((16, 9), 11)],
[((17, 21), 9), ((12, 8), 21), ((12, 0), 19), ((5, 9), 20), ((0, 20), 11), ((7, 9), 21)],
[((0, 12), 20), ((1, 19), 16), ((3, 18), 14), ((7, 7), 20), ((11, 3), 17), ((12, 0), 15)],
[((2, 0), 10), ((21, 12), 26), ((0, 21), 14), ((14, 12), 24), ((11, 12), 22), ((26, 25), 26)],
[((10, 18), 11), ((0, 8), 10), ((2, 19), 18), ((14, 19), 9), ((1, 7), 10), ((5, 0), 17)],
[((2, 12), 13), ((1, 5), 19), ((14, 0), 18), ((19, 4), 15), ((0, 13), 13), ((9, 0), 14)],
[((29, 31), 40), ((24, 15), 25), ((5, 6), 34), ((0, 0), 30), ((12, 18), 35), ((13, 3), 40)],
[((7, 19), 29), ((24, 26), 42), ((30, 0), 29), ((26, 28), 40), ((5, 40), 35), ((0, 28), 39)],
[((19, 23), 28), ((0, 0), 12), ((0, 27), 24), ((19, 11), 27), ((12, 19), 20), ((24, 24), 26)],
[((9, 17), 14), ((4, 3), 10), ((17, 13), 10), ((15, 14), 10), ((0, 12), 17), ((4, 0), 10)],
[((38, 38), 33), ((20, 0), 37), ((29, 19), 48), ((32, 13), 48), ((0, 29), 25), ((20, 41), 48)],
[((1, 21), 48), ((35, 0), 28), ((39, 39), 41), ((0, 8), 39), ((3, 7), 36), ((2, 1), 41)],
[((34, 0), 11), ((8, 24), 35), ((19, 17), 22), ((31, 6), 7), ((0, 25), 34), ((7, 29), 33)],
[((11, 8), 16), ((10, 22), 20), ((0, 23), 13), ((8, 0), 13), ((2, 10), 23), ((17, 13), 9)],
[((0, 73), 82), ((66, 0), 27), ((18, 65), 66), ((23, 42), 74), ((20, 25), 62), ((0, 10), 86)],
[((8, 4), 15), ((5, 5), 13), ((0, 15), 9), ((10, 13), 9), ((3, 4), 15), ((6, 0), 11)],
[((6, 14), 18), ((20, 9), 11), ((5, 9), 14), ((10, 0), 11), ((8, 15), 20), ((0, 17), 15)],
[((7, 10), 13), ((0, 13), 12), ((13, 9), 8), ((7, 13), 12), ((3, 0), 6), ((9, 4), 11)],
[((10, 17), 10), ((3, 2), 14), ((3, 19), 10), ((0, 2), 16), ((4, 0), 13), ((8, 5), 19)],
[((5, 9), 8), ((3, 13), 5), ((0, 3), 7), ((10, 2), 16), ((0, 16), 8), ((8, 0), 15)],
[((0, 4), 9), ((7, 0), 13), ((12, 9), 9), ((16, 8), 13), ((5, 3), 13), ((4, 2), 13)],
[((13, 11), 27), ((20, 6), 19), ((12, 14), 28), ((0, 0), 19), ((26, 10), 16), ((26, 20), 18)],
[((5, 0), 8), ((3, 1), 10), ((4, 3), 10), ((0, 10), 7), ((7, 0), 8), ((3, 8), 7)],
[((5, 9), 15), ((17, 9), 15), ((7, 6), 12), ((5, 14), 11), ((0, 0), 6), ((12, 3), 17)],
[((9, 23), 27), ((34, 25), 24), ((0, 18), 17), ((16, 25), 34), ((28, 0), 33), ((8, 16), 22)],
[((0, 23), 21), ((9, 10), 23), ((1, 9), 18), ((0, 2), 12), ((19, 1), 12), ((9, 0), 21)],
[((4, 0), 12), ((14, 2), 6), ((7, 2), 9), ((6, 8), 15), ((0, 15), 15), ((1, 0), 10)],
[((0, 24), 17), ((20, 10), 19), ((19, 0), 17), ((10, 22), 23), ((14, 22), 26), ((18, 4), 14)],
[((10, 0), 19), ((19, 12), 17), ((15, 19), 25), ((14, 3), 20), ((0, 20), 15), ((2, 26), 12)],
[((39, 12), 29), ((39, 0), 27), ((43, 25), 42), ((25, 9), 43), ((0, 22), 26), ((30, 29), 42)],
[((22, 10), 21), ((22, 0), 29), ((21, 13), 22), ((0, 0), 9), ((26, 2), 29), ((11, 17), 29)],
[((0, 22), 14), ((6, 21), 13), ((23, 25), 27), ((17, 13), 22), ((16, 0), 16), ((24, 21), 29)],
[((0, 6), 19), ((2, 0), 23), ((2, 5), 19), ((9, 21), 23), ((21, 0), 7), ((1, 10), 23)],
[((12, 7), 28), ((6, 0), 25), ((19, 9), 25), ((0, 7), 29), ((5, 3), 24), ((21, 22), 13)],
[((1, 11), 10), ((2, 4), 11), ((9, 1), 5), ((0, 10), 9), ((4, 3), 9), ((11, 0), 7)],
[((31, 28), 32), ((10, 23), 36), ((7, 8), 31), ((38, 25), 26), ((0, 0), 41), ((41, 26), 24)],
[((9, 4), 18), ((7, 0), 16), ((20, 15), 19), ((0, 11), 29), ((4, 29), 18), ((13, 8), 21)],
[((13, 23), 25), ((0, 4), 16), ((9, 10), 14), ((18, 20), 20), ((25, 16), 19), ((10, 0), 24)],
[((32, 41), 20), ((29, 35), 14), ((33, 8), 35), ((2, 2), 35), ((0, 0), 33), ((9, 0), 41)],
[((19, 16), 29), ((7, 15), 25), ((19, 0), 15), ((20, 28), 18), ((0, 20), 24), ((13, 16), 29)],
[((9, 1), 19), ((2, 3), 13), ((0, 0), 13), ((16, 1), 17), ((17, 22), 20), ((18, 6), 22)],
[((2, 7), 12), ((7, 15), 11), ((3, 13), 7), ((1, 4), 15), ((0, 2), 15), ((2, 0), 13)],
[((4, 32), 25), ((22, 0), 28), ((24, 7), 29), ((17, 25), 35), ((30, 16), 21), ((0, 35), 23)],
[((6, 10), 23), ((16, 21), 14), ((28, 10), 20), ((28, 17), 26), ((0, 0), 17), ((24, 2), 28)],
[((0, 1), 19), ((13, 11), 17), ((21, 10), 12), ((16, 4), 10), ((6, 0), 20), ((21, 19), 10)],
[((2, 23), 20), ((9, 24), 22), ((9, 0), 7), ((24, 15), 22), ((6, 20), 24), ((0, 20), 23)],
[((25, 57), 36), ((0, 41), 58), ((52, 53), 48), ((41, 0), 34), ((46, 53), 43), ((42, 8), 37)],
[((11, 10), 25), ((0, 19), 25), ((13, 14), 21), ((2, 9), 18), ((10, 8), 25), ((23, 0), 12)],
[((7, 9), 28), ((13, 12), 23), ((27, 0), 10), ((27, 14), 10), ((0, 18), 24), ((8, 11), 28)],
[((6, 5), 15), ((10, 4), 13), ((14, 12), 5), ((3, 4), 15), ((0, 13), 11), ((12, 0), 9)],
[((28, 0), 17), ((21, 39), 26), ((0, 39), 42), ((28, 6), 12), ((26, 11), 12), ((13, 21), 26)],
[((14, 9), 28), ((17, 3), 25), ((1, 26), 19), ((25, 0), 21), ((9, 27), 11), ((0, 22), 15)],
[((9, 10), 10), ((8, 6), 12), ((8, 4), 11), ((11, 0), 7), ((10, 7), 11), ((0, 0), 5)],
[((4, 14), 3), ((8, 3), 14), ((3, 3), 14), ((0, 18), 5), ((15, 0), 19), ((3, 16), 2)],
]
def get_circles(list,index):
    vg=VGroup(*[Circle(stroke_width=1,arc_center=np.array([c[0],c[1],0]),radius=abs(r),fill_opacity=0.1,color=WHITE) for c,r in list[index]]).set_height(7).move_to(ORIGIN)
    vg.add(Integer(index+1).to_corner(DL))
    return vg
class intro(Scene):
    def construct(self):
        text1=Text("相信大家都看过那期枚举1~4个圆的排列情况的视频吧",font="DengXian")
        text2=Text("这期视频我将枚举6个圆的情况",font="DengXian")
        text3=Text("当然有个小小的细节不同",font="DengXian")
        text4=Text("这次的六个圆必须有一个共同的交集",font="DengXian")
        text5=Text("不多迟疑了，让我们开始吧",font="DengXian")
        texts=[text1,text2,text3,text4,text5]
        self.play(Write(text1))
        for i in range(4):
            self.wait(4)
            self.play(Write(texts[i+1]),FadeOut(texts[i]))
        self.wait(4)
        self.play(FadeOut(text5))
        self.wait(2)
class testing(Scene):
    def construct(self):
        chat=[
            "为了防止你和审核君无聊，\\\\$\mathrm{UP}$在这里和大家聊聊天吧",
            "我已经是一个快$200$天的$\mathrm{UP}$了",
            "我感觉我是比较幸运的新人$\mathrm{UP}$了",
            "到现在已经获得了$5800+$个粉丝了",
            "当然也是因为几个视频火了起来",
            "现在总播放量已经达到了$142$万",
            "总之要感谢大家对本$\mathrm{UP}$的支持",
            "作为一个$\mathrm{manim}$区$\mathrm{UP}$主，\\\\$\mathrm{UP}$的更新已经算很快了",
            "但实际上遏制住我们更新频率的不是视频的制作过程",
            "而是寻找一个不错的素材",
            "再者是通过自己直观的理解讲给大家",
            "（我在群里有看到写稿子写好久的）",
            "这通常需要学习新的知识",
            "当然也有失败的",
            "$\mathrm{UP}$曾多次尝试入坑群论，\\\\但总以失败告终",
            "我有看到过好几个粉丝不多的$\mathrm{UP}$，\\\\但讲的都很不错",
            "例如@$\mathrm{widcardw}$（$500+$粉丝）的$\mathrm{updater}$教程，\\\\对入坑$\mathrm{manim}$的同学很有帮助",
            "@符树$\mathrm{FUSHU}$（$250+$粉丝的老鸽子），\\\\几何画板动画和原创音乐都很不错",
            "@$\mathrm{NKU}$的雾里学家（$250+$粉丝），\\\\最近的沙滩物理视频挺有意思",
            "@对数函数$\mathrm{Logarithmic}$（近$700$粉丝），\\\\也是数学，建议看他视频时暂停观看",
            "@柚叶说（$3400+$粉丝），麦克斯韦区$\mathrm{UP}$，\\\\用最好理解的方式推导麦克斯韦方程组",
            "这让我想起我在$\\mathrm{BW}$和同学聊天时的一句话：",
            "知识区要强大起来啊！",
            "知识区还有很多很多很不错的小$\mathrm{UP}$等你发现",
            "最近$\\mathrm{UP}$视频的播放也有些低迷",
            "$\\mathrm{UP}$主深知标题与封面对视频播放的重要性",
            "但我就是不擅长取标题和做封面",
            "举个例子",
            "欧拉示性数方程这期视频，\\\\估计是因为标题就劝退了不少人",
            "这期视频实际上做的不错，\\\\证明方法也是自己想出来的",
            "但，但播放量只有$618$啊啊啊啊啊！",
            "这比那期“水视频”的播放量还少",
            "相反，一些乱录的，比方说框中球，就有$3$万播放",
            "说说吧，你是什么时候入坑本$\mathrm{UP}$的",
            "对了，$\\mathrm{UP}$常常在视频里埋彩蛋",
            "有时候会写在代码里",
            "给大家个数（转十进制），\\\\这对找彩蛋很有帮助：$(1321\mathrm{BBB})_{16}$",
            "以后可能会出期专栏，把彩蛋汇总一下",
            "如果大家有什么想要我做的，我可以专门为大家做",
            "我的粉丝定制系列已经有两期了",
            "以后可能会和其他$\\mathrm{UP}$合作看看",
            "嗯，没什么好说的了，\\\\接下来就静静欣赏视频吧"
        ]
        print(len(chat)*20)
        print(len(a)/2)
        self.t=0
        fps=30
        vg=get_circles(a,0)
        self.play(ShowCreation(vg[:-1]),Write(vg[-1]))
        text=VGroup(*[TexText(i) for i in chat]).set_opacity(0)
        for i,obj in enumerate(text):
            obj.scale(0.5).to_corner(DR).insert_n_curves(50)
            print(i)
        def update(obj,dt):
            if self.t%fps==0:
                obj.become(get_circles(a,min([self.t//fps,len(a)-1])))
            self.t+=1
        def updatetext(obj):
            if self.t%20*60==1:
                index=min([self.t//20*60,len(chat)-1])
                obj[index].set_opacity(1)
                obj[:index].set_opacity(0)
                obj[index+1:].set_opacity(0)

        vg.add_updater(update)
        text.add_updater(updatetext)
        self.add(vg,text)
        self.wait(len(a)/2+1)
        vg.clear_updaters()
        text.clear_updaters()
        self.remove(vg,text)
        self.wait()
class ending(Scene):
    def construct(self):
        text1=Text("就酱，呼~",font="DengXian")
        self.wait(2)
        self.add(text1)
        self.wait(7)
        self.remove(text1)
        self.wait(2)
class thumbnail(Scene):
    def construct(self):
        vg=VGroup(*[get_circles(a,random.randint(0,len(a)-1))[:-1] for i in range(6)]).arrange_in_grid(2,3,buff=0.5).set_height(7)
        self.add(vg)